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970097136 = 243193134313
BaseRepresentation
bin111001110100101…
…000000111110000
32111121102001002120
4321310220013300
53441321102021
6240132314240
733016455351
oct7164500760
92447361076
10970097136
1145865a378
12230a72980
13125c9a498
1492ba5d28
155a2762c6
hex39d281f0

970097136 has 80 divisors (see below), whose sum is σ = 2723159040. Its totient is φ = 296455680.

The previous prime is 970097119. The next prime is 970097153. The reversal of 970097136 is 631790079.

It is an interprime number because it is at equal distance from previous prime (970097119) and next prime (970097153).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11116 + ... + 45428.

It is an arithmetic number, because the mean of its divisors is an integer number (34039488).

Almost surely, 2970097136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970097136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361579520).

970097136 is an abundant number, since it is smaller than the sum of its proper divisors (1753061904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

970097136 is a wasteful number, since it uses less digits than its factorization.

970097136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34374 (or 34368 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 970097136 is about 31146.3823902552. The cubic root of 970097136 is about 989.9313410195.

The spelling of 970097136 in words is "nine hundred seventy million, ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14136 28272 34313 68626 102939 137252 205878 274504 411756 549008 651947 823512 1063703 1303894 1647024 1955841 2127406 2607788 3191109 3911682 4254812 5215576 6382218 7823364 8509624 10431152 12764436 15646728 17019248 20210357 25528872 31293456 40420714 51057744 60631071 80841428 121262142 161682856 242524284 323365712 485048568 970097136